Effect Size for Dependent Samples t-Test (Jump to: Lecture | Video )

Remember that effect size allows us to measure the magnitude of mean differences. This is usually calculated after rejecting the null hypothesis in a statistical test. If the null hypothesis is not rejected, effect size has little meaning.

Let's say we already have this data from a previous t-test:

Figure 1.

One method of calculating effect size is cohen's d:

Figure 2.

With cohen's d, remember that:

d = 0.2, small effect

d = 0.5, medium effect

d = 0.8, large effect

So, our d of 1.14 would be a large effect size.

Another method of calculating effect size is with r squared:

Figure 3.

With r squared:

Figure 4.

0.59 indicates a very large effect. Our means are likely very different.